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Can you solve the following question from mathematics? If you do answer it please make sure that the answer is correct. ( The question is of std. 10 CBSE.
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1) Students of a class are made to stand in rows.If 1 student is extra in a row there would be 2 rows less.If 1 student is less in a row there would be 3 rows more.Find the number of students.

Answer :

kvnmurty
Let there be  n  rows and  m columns. ie.,  m students in each row.
So there are  m n number of students in total.  The students are rearranged in more number of rows or less number of rows... so:

arrangement 1:
     (m + 1) * (n -2 ) = m n
     m n - 2 m + n  - 2 = m n      =>    n - 2 m = 2    --- (1)

arrangement 2:
  Also,  (m - 1) ( n + 3)  =  m n
             m n + 3 m - n - 3 = mn    =>  3 m - n = 3        --- (2)

 Solving (1) and (2) :      m = 5    and    n = 12 

There are  m * n = 60 students in total.

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